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arXiv · 1009.4481

$L\log L$ condition for supercritical branching Hunt processes

Rong-Li Liu·Yan-Xia Ren·Renming Song
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Abstract

In this paper we use the spine decomposition and martingale change of measure to establish a Kesten-Stigum $L\log L$ theorem for branching Hunt processes. This result is a generalization of the results in Asmussen-Hering (1976) and Hering (1978) for branching diffusions.

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Rong-Li Liu, Yan-Xia Ren, Renming Song. 2010-09-22. $L\log L$ condition for supercritical branching Hunt processes. https://arxiv.org/abs/1009.4481

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